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# Finding simple interest for one year

Let's learn what the 'interest rate per annum' means and how we can calculate simple interest for a year using the rate of interest. Created by Aanand Srinivas.

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- I know the lesson is the same in any culture, country etc.. However lesson in America taught to children in the US should probably be taught in dollars in my opinion just because most kids in America, probably all use the Dollar not the Rupee. Why in Rupees?(5 votes)
- because this is by an indian teacher and in india, their currency is rupees.(32 votes)

- thanks for doing this but do you think do it with fractions(5 votes)
- How do I calculate simple interest with months instead of year but the rate is still per annum(4 votes)
- For every year there is 12 months so instead of inputting a number, you could input a fraction out of 12 for the months(1 vote)

- Why isn't there a video for several years of interest?(3 votes)
- Not every time , anyone keeps money for a year . Pls make videos for that(1 vote)
- Do you mean a video for calculating simple interest for many years? Check https://www.khanacademy.org/math/in-in-class-7th-math-cbse/in-in-7th-comparing-quantities/in-in-comparing-quantities-simple-interest/v/finding-simple-interest-for-many-years-comparing-quantities-class-7-india-khan-academy out and be sure to solve the exercises that follow it.

Now I hope this explanation makes the concept clear.

Let:

rate of interest = r % per annum;

principal = p; and

simple interest = i.

The rate of interest per annum is the interest for a principal of 100 at the end of one year.

This means that

r:principal of 100::?:principal of p

That is

r:100::i:p (taking "?" as the simple interest on the principal p)

This implies that pr=100i, which can be regrouped as follows:

i = pr/100.

This is the formula you typically see in textbooks.

Notice that the r here is the interest for a principal of 100 at the end of ONE YEAR. That's why r is the rate of interest per annum or PER YEAR (i.e. FOR EVERY {1} YEAR).

So what do we do for calculating simple interest for multiple—say, t—years?

Well, proportions to the rescue!

pr/100:1 year::?:t years

In other words, pr/100:1::?:t

tpr/100 = ?

Notice that the "?" is the simple interest for t years. Let's denote it by "SI".

We now have

SI = ptr/100

where

SI = Simple Interest

p = principal

t = Number of years or time

r = rate of interest

Hope that helps! :)(4 votes)

- I understand interest. I understand simple interest. But what I don't understand is why would anyone pay the principal of 500rs again in the second year, when the principal was already paid back, in full, in the first year?

In my understanding, you keep paying interest every year that you have NOT paid back the principal. Once the principal has been paid back, the obligation is over.

Also, if you paid 50rs interest in the first year, and had not paid back the principal (still borrowing the money), then you'd simply pay another 50rs in the second year, not double.(2 votes) - pls tell formula for finding time period if interest, rate and principal amount r given(1 vote)
- If you're looking for time, you multiply first the principal and rate and divide the answer by the interest.

Hope this helps ^-^(2 votes)

- A dollar is 65 rupees , right(0 votes)
- 1 United States Dollar equals

71.96 Indian Rupee (the rate changes)(6 votes)

- vc bvc

How do you find rate(1 vote)**The interest rate can be found by using this simple formula***Rate = Interest earned / (Principal amount x time (years))***For example**

Let's say we deposit a principal amount of $4,000 into a bank, and after 4 years since the deposit, we earned $400 interest. We now apply the above formula with this situation:*Rate = 400 / (4000 x 4 (years))*

Rate = 0.025

Rate = 2.5%(2 votes)

- If I have borrowed a 100 dollars with 10%pa simple interest over two years then after one year I would have 10 dollars interest if I paid 50 dollars then would my interest be 6 dollars or 10 dollars?(1 vote)